Answer:
Option A is correct
The value of (h ∘ g)(−5) is, 104
Step-by-step explanation:
Given the functions:
g(x) = 2x
[tex]h(x) = x^2 + 4[/tex]
We have to find (h ∘ g)(−5).
[tex](h o g)(-5) = h(g(-5))[/tex] ....[1]
At x = -5
g(-5) = 2(-5) = -10
then
Substitute the g(-5) in [1] we have;
[tex](h o g)(-5) = h(-10)[/tex]
⇒[tex](h o g)(-5) = (-10)^2+4 = 100+4 = 104[/tex]
⇒[tex](h o g)(-5) = 104[/tex]
therefore, the value of (h ∘ g)(−5) is, 104
(Once again I am doing this question because no one answered it last time. thanks)
After taxes, Alexandra's take home pay is 9/10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $486 of take-home pay. let s represent your variable.
Alexandra's salary before taxes for the pay period was $
I need the equation and the answer for the question above this sentence.
Listen I really need help i'm struggling in math okay.
What is the value of m?
0.61m−1.51m=9
The value of m from the given expression would be; -10.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We have been given the expression as
0.61m - 1.51m = 9
Combine Like Terms;
-0.9m = 9
Divide -0.9 To Both Sides;
-0.9m/-0.9 = 9/-0.9
Simplify;
m = -10
Hence, m equals to -10.
The value of m from the given expression would be; -10.
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Which graph represents the solution of 3x + 2y ≥ 4 and x + 3y ≤ 2?
The graph that represents the solution of linear inequalities 3x + 2y >= 4 and x + 3y <= 2 is attached below. The shaded region represents the solution of the inequalities.
What is meant by graphing a linear inequality?
To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality. If given a strict inequality, use a dashed line for the boundary. If given an inclusive inequality, use a solid line. Next, choose a test point not on the boundary. If the test point solves the inequality, then shade the region that contains it; otherwise, shade the opposite side.
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You deposit $5000 in an account earning 7.5% simple interest. How long will it take for the balance of the account to be $6500?
Final answer:
It will take 4 years for the balance of an account to grow from $5000 to $6500 at a 7.5% simple interest rate. The formula for simple interest I = P × r × t is used, and after rearranging to solve for t, we find t = 4 years.
Explanation:
To calculate how long it will take for the balance of an account to reach a certain amount with simple interest, we can use the formula for simple interest: I = P × r × t, where I is the interest earned, P is the principal amount (initial deposit), r is the annual interest rate, and t is the time in years. In this case, we want to find out when the account balance will be $6500 after depositing $5000. The total interest earned to reach $6500 will be $6500 - $5000 = $1500.
The given annual interest rate is 7.5% (or 0.075 when converted to decimal form). We will rearrange the simple interest formula to solve for t:
t = I / (P × r)
Now, substituting the given values:
t = $1500 / ($5000 × 0.075)
t = $1500 / $375
t = 4 years
Therefore, it will take 4 years for the balance of the account to be $6500 at a 7.5% simple interest rate.
A message center receives calls from 6 p.m. until 6 a.m. Typically, 50% of the calls come in between 6 p.m. and 9 p.m.; 25% of the calls come in between 9 p.m. and midnight; 20% of the calls come in between midnight and 3 a.m.; and 5% of the calls come in between 3 a.m. and 6 a.m.
What is the probability that a call will come in between 6 p.m. and midnight?
Question 5 options:
25%
50%
55%
75%
A ferris wheel is drawn on a coordinate plane so that the first car is located at the point (0,40). What are the coordinates of the first car after a rotation of 270 degrees° counterclockwise about the origin?
After a 270-degree counterclockwise rotation, the first car on the ferris wheel originally located at (0, 40) will be at (40, 0).
Explanation:If the first car of a ferris wheel is located at the point (0, 40) on a coordinate plane and undergoes a rotation of 270 degrees counterclockwise about the origin, the new coordinates of the first car can be determined by applying a rotation transformation. To perform a 270-degree counterclockwise rotation, we rotate the point 90 degrees clockwise. This equivalent action simplifies the calculation, as rotating (0, 40) 90 degrees clockwise results in the point moving to (40, 0). Therefore, after a 270-degree counterclockwise rotation (which is equivalent to a 90-degree clockwise rotation), the new coordinates of the first car on the ferris wheel are (40, 0).
This circle centered at the origin and the Length of its radius is 8. What is the equation of the circle?
Answer: B
Step-by-step explanation: The equation would be x^2+y^2=64 or 8^2
Which equation is a trigonometric identity?
Divide.
8.64÷(−0.27)
Enter your answer in the box.
32 is your answer hope it helped :) welcome
Kim's class voted on a location for a field trip. • 5/12 of the class voted for the museum. • 5/24 of the class voted for the zoo. The rest of the class voted for the nature park. What fraction of the class voted for the nature park? The nature park received of the class votes.
Final answer:
By adding the fractions of votes for the museum (5/12) and zoo (5/24), converting them to a common denominator, and subtracting from the whole, we find that 3/8 of the class voted for the nature park.
Explanation:
To determine what fraction of the class voted for the nature park, we first need to add up the fractions of the class that voted for the museum and the zoo, and then subtract that sum from the whole class, which is represented as 1 (or 12/12). Since 5/12 of the class voted for the museum and 5/24 of the class voted for the zoo, we need to find a common denominator to add these fractions together. The lowest common denominator for 12 and 24 is 24.
First, we convert 5/12 to a fraction with a denominator of 24, which would be 10/24 (since 5 × 2 = 10 and 12 × 2 = 24). Now we can add the two fractions:
10/24 (votes for the museum)
5/24 (votes for the zoo)
Therefore, 10/24 + 5/24 = 15/24. After that, we subtract the sum from the whole to find out what fraction voted for the nature park:
12/12 - 15/24 = 24/24 - 15/24 = 9/24.
Hence, 9/24 of the class voted for the nature park. However, we can simplify 9/24 by dividing the numerator and the denominator by their greatest common divisor, which is 3, giving us 3/8.
Therefore, 3/8 of the class voted for the nature park.
members of the wide waters club pay 105 dollars per summer season, plus 9.50 each time they rent a boat. Nonmembers must pay 14.75 each time they rent a boat. How many times would a member and a non-member have to rent a boat in order to pay the same amount?
Solve x2 + 8x − 3 = 0 using the completing-the-square method
A car travels 308 miles in 5 hours and 30 minutes. how many miles does it travel per hour?
Triangle ABC is located at A (−2, 2), B (−2, 4), and C (0, 0). The triangle is then transformed using the rule (x+3, y− 2) to form the image A'B'C'. What are the new coordinates of A', B', and C'?
In a class of 80 students, 42 received a grade of
a. what fraction of the class did not receive an a? reduce to the lowest terms.
42 received an A
so 40-42 = 38 did not
the fraction would be 38/80, divide both numbers by 2
38/80 reduces to 19/40 did not receive an A
Out of 80 students, 38 did not receive an A, resulting in the fraction who did not receive an A being 19/40 after simplifying.
Explanation:In a class of 80 students, if 42 received a grade of A, then the number of students who did not receive an A is the total number of students minus the number who did receive an A. So, 80 students − 42 students = 38 students. The fraction of the class that did not receive an A is 38 out of 80, which can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 2.
Therefore, the reduced fraction is 19/40.
The fraction of the class that did not receive an A is 19/40 which, if we converted into a percentage, would be 47.5%.
Is it possible for 0 and a positive number to have a common multiple?
darius spends 35% of his time doing math homework. alex spends 2/5 of his time doing math homework. who spends more homework time on math? explain
Is △RWS ~ △QWT?
yes
no
Answer: Yes ΔRWS≈ΔQWT.
Step-by-step explanation:
We know that when two chords intersect each other inside a circle, the products of their segments are equal.
Therefore, [tex]QW\times WS=TW\times RW\\\Rightarrow\frac{QW}{RW}=\frac{TW}{WS}[/tex]
Now in triangle QWT and triangle RWS
∠QWT=∠RWS [Vertically opposite angles]
[tex]\frac{QW}{RW}=\frac{TW}{WS}[/tex]
Therefore, By SAS similarity rule
ΔRWS≈ΔQWT
Therefore, yes ΔRWS≈ΔQWT.
State whether the triangles are similar.
What is the eccentricity of a completely flat ellipse
The eccentricity of a completely flat ellipse ranges from one (1) to zero (0).
What is eccentricity of flat ellipse?Eccentricity of an ellipse is the measure of how 'out of round' an ellipse is.
The eccentricity of an ellipse ranges from 0 to 1.
If the eccentricity is 0, it is not squashed at all and it will remain a circle.
However, if the eccentricity is 1, it is completely squashed and looks like a straight line.
Thus, the eccentricity of a completely flat ellipse ranges from one (1) to zero (0).
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A golfer has 4 different hats, 3 gloves, and 2 pairs of shoes to pick from for his round of golf. In how many ways can he make his choices?
The number of ways the golfer can make his choices is 4 hats times 3 gloves times 2 shoes, resulting in 24 different combinations.
Explanation:The student is asking about the number of different ways a golfer can choose from 4 hats, 3 gloves, and 2 pairs of shoes. To find the total number of combinations, we multiply the number of choices for each category. Thus, the number of ways the golfer can make his choices is:
4 (hats) × 3 (gloves) × 2 (shoes) = 24 combinations.
This is not an instance where factorial calculation (4!) is necessary, since the golfer does not need to select one of each item in a specific order but simply needs to choose one from each category.
To calculate the number of ways the golfer can make his choices, we can use the concept of permutations.
For the hats, there are 4 choices. For the gloves, there are 3 choices. And for the shoes, there are 2 choices.
To find the total number of combinations, we multiply the number of choices for each category together: 4 hats * 3 gloves * 2 pairs of shoes = 24 different ways the golfer can make his choices.
Final answer:
The golfer can choose his accessories in 24 different ways by selecting 1 out of 4 hats, 1 out of 3 gloves, and 1 out of 2 pairs of shoes, and multiplying the choices together (4 × 3 × 2).
Explanation:
The question asks us to calculate the total number of ways the golfer can choose his outfit accessories assuming he chooses one of each type. To do this, we need to consider each type of accessory independently and multiply the number of choices for each type.
The golfer has 4 different hats, 3 pairs of gloves, and 2 pairs of shoes to choose from. Since these choices are independent of each other, we simply multiply the number of options for each type of accessory:
4 options for hats,3 options for gloves,2 options for shoes.Thus, the total number of combinations is 4 hats × 3 gloves × 2 shoes = 24 different ways the golfer can choose his accessories for the round of golf.
This is an example of a fundamental counting principle problem, where we multiply the number of choices in each step to get the total number of combinations.
How many complex roots does the polynomial equation have?
3x5−2x+1=0
Answer : The given polynomial equation can have 0,2 or 4 complex roots.
Explanation:-
Given polynomial equation is [tex]3x^5-2x+1=0[/tex] which is a polynomial of degree 5.
We know that the complex roots always occur in pair ,therefore the number of complex roots in any polynomial must be an even number but less than equal to the degree of polynomial.
Thus, the given polynomial equation has 4 complex roots.
Answer:
The polynomial equation have 4 complex roots.
Step-by-step explanation:
We are given a polynomial equation as:
[tex]3x^5-2x+1=0[/tex]
clearly the polynomial equation is a equation of degree 5 hence, the polynomial equation has atmost 5 roots.
Now we find the roots of the equation by it's graph.
we could clearly see that the graph ofthe function passes through the point (-1,0). hence -1 is the root of the polynomial equation, other than this point the graph does not touches or pass through the x-axis.
Hence, the other four roots of the polynomial equation are complex.
Hence, the polynomial equation has 4 complex roots.
The subtraction property of equality let's you say that if 5x+6=21, then ____ = 15
How do you solve a quadratic formula
Landon is standing in a hole that is 5.1 ft deep. He throws a rock, and it goes up into the air, out of the hole, and then lands on the ground above. The path of the rock can be modeled by the equation y = -0.005x 2 + 0.41x - 5.1, where x is the horizontal distance of the rock, in feet, from Landon and y is the height, in feet, of the rock above the ground. How far horizontally from Landon will the rock land?
How do I solve this literal equation
Darius and Matthew have 3 fruit bars. They are both hungry after playing football and decide to split the fruit bars evenly.How much fruit bars will reach boy get.
A rancher needs to enclose two adjacent rectangularâ corrals, one for cattle and one for sheep. if the river forms one side of the corrals and 180 yd of fencing isâ available, find the largest total area that can be enclosed.
Determine the equation of the graph, and select the correct answer below.
Courtesy of Texas Instruments
y = (x + 4)^2 + 1
y = (x + 4)^2 − 1
y = (x − 4)^2 + 1
y = (x − 4)^2 − 1
The equations provided represent parabolas that have been translated or reflected from the standard form y = x^2. Without a given graph or additional details, we can't definitively determine which equation is correct.
Explanation:Without a graph or specific details regarding the shape, position, and characteristics of the graph, we can't definitively choose one of the given equations. However, each equation represents a parabolic function that is translated and/or reflected from the standard form, y = x².
The equation y = (x + 4)² + 1 represents a parabola that is shifted 4 units to the left and 1 unit up from the origin.
The equation y = (x + 4)² − 1 is a parabola that is shifted 4 units to the left and 1 unit down.
For the equation y = (x − 4)² + 1, the parabola is shifted 4 units to the right and 1 unit up.
And lastly, the equation y = (x − 4)² − 1 describes a parabola that is shifted 4 units to the right and 1 unit down.
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Line segment ab has a length of 4 units. it is translated 1 unit to the right on a coordinate plane to obtain line segment a prime b prime. what is the length of a prime b prime? 1 unit 4 units 5 units 6 units
Answer:
The length of A'B' is 4 unit.
Step-by-step explanation:
Translation is a rigid transformation in which a figure or a line segment is shifted or moved without changing its shape and size,
That is, if the measurement of segment AB is 4 unit then after translation by any factor its measurement will not change,
So, the measurement of segment A'B' would be 4 unit.
Verification :
Let the coordinates of A and B are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] respectively,
Also, the rule of translation 1 unit right is,
[tex](x,y)\rightarrow (x+1, y)[/tex]
By the distance formula,
The measure of segment AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Thus, if A'B' is the transformed segment of segment AB,
Then, coordinates of A' and B' are [tex](x_1+1, y_1)[/tex] and [tex](x_2+1, y_2)[/tex]
So, the measure of segment A'B' = [tex]\sqrt{(x_2+1-x_1-1)^2+(y_2-y_1)^2}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Hence, the measure of AB = measure of A'B'